Some computational formulas related the Riemann zeta-function tails

Some computational formulas related the Riemann zeta-function tails

Abstract In this paper we present two computational formulae for one kind of reciprocal sums related to the Riemann zeta-function at integer points s = 4 , 5 $s=4,5$ , which answers an open problem proposed by Lin (J. Inequal. Appl. 2016:32, 2016).

Bibliographic Details
Main Author: Hongmin Xu
Format: Article
Language:English
Published: SpringerOpen 2016-05-01
Series:Journal of Inequalities and Applications
Subjects:
Riemann zeta-function
inequality
continued fraction
telescoping method
multiple-correction method
Online Access:http://link.springer.com/article/10.1186/s13660-016-1068-2

Internet

http://link.springer.com/article/10.1186/s13660-016-1068-2

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